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3 years ago

Which represents a quadratic function?

Mathematics

1 answer:

Zanzabum3 years ago

8 0

Answer:

Step-by-step explanation:

a is a cubic. A cubic is an equation that has 3 on its base x to become x^3 as it's highest power. That is not a quadratic. A cubic and a quadratic are not the same thing.

b is a quadratic The highest power is 2 on the base (x) to become x^2. That is how a quadratic is defined.

c is a reciprocal. It has its highest power in the denominator, and that is not a quadratic. A quadratic is an equation whose highest power is 2 on its base (x) and whose highest power is in the numerator, not the denominator. This choice is rather tricky because the quadratic formula can be used on it if you change x = 1/z. Then the equation becomes f(x) = 4z^2 - 2z + 1. But as it is given and likely as you have been told, this is not a quadratic. This will factor into (2z - 1)(2z - 1). If I were a student, I'd question this one. It would be interesting to see how your instructor would eliminate it.

d is just a linear function. Since x^2 is multiplied by 0, it disappears. What is left is f(x) = -9x + 7 which is a linear function.

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Can somebody please help me? this makes no sense

kherson [118]

I’m guessing it’s B, not sure tho.

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4 years ago

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There are 15 girls and 10 boys in a 5th grade class. What is the ratio of girls to boys? Write this as a simplified fraction :

notsponge [240]

Step-by-step explanation:

15 + 10 = 25 people

15 are girls and 10 are boys and that makes 15/10 ratio.

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3/2

Hope this helped!

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3 years ago

Find the general solution for the differential equation \displaystyle{\left.{d}{y}\right.}+{9}{x}\ {\left.{d}{x}\right.}={0}dy+9

densk [106]

Answer:

y= CC-4.5x^2

Step-by-step explanation:

To find the general solution to the differential equation

dy + 9x dx = 0, we employ the method of separating variable as follows:

Note: { will represent the integral sign here.

Separating the variables and integrating, we have

{dy = -{9x dx

y = -(9/2)(x^2) + CC,

where CC is the given constant of integration.

This can be rearranged/simplified to yield

y= CC-4.5x^2

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3 years ago

The image below shows two parallel lines cut by a transversal. What is the measure of angle 1?

Yuri [45]

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One of the questions on a survey asked adults if they used the internet at least occasionally. The results showed that 450 out o

earnstyle [38]

Answer: 0.9414

Step-by-step explanation:

Given : One of the questions on a survey asked adults if they used the internet at least occasionally.

450 out of 478 adults aged 18–29 answered Yes.

Then, the point estimate of the proportion of adults aged 18–29 who use the internet will be :-

$p=\dfrac{\text{No. of adults aged 18–29 answered Yes}}{\text{total adults aged 18–29 surveyed }}\\\\=\dfrac{450}{478}=0.9414$

Thus , a point estimate of the proportion of adults aged 18–29 who use the internet= 0.9414

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4 years ago